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Finding the Fourth Proportional to 8,099.97, 12,147.78 and 3,420.01

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Solution

The fourth proportional to 8,099.97, 12,147.78 and 3,420.01 is: 5,129.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.97 : 12,147.78 = 3,420.01 : x
  2. Step 2: Convert to fraction form
    8,099.97/12,147.78 = 3,420.01/x
  3. Step 3: Cross multiply
    8,099.97x = 12,147.78 × 3,420.01
  4. Step 4: Simplify right side
    8,099.97x = 41,545,511.98
  5. Step 5: Solve for x
    x = 41,545,511.98/8,099.97
  6. Step 6: Final answer
    x = 5,129.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.